Some classes of probabilistic inner product spaces and related inequalities

Panackal Harikrishnan, Bernardo Lafuerza Guillén

Research output: Contribution to journalArticle

Abstract

We give a new definition for probabilistic inner product spaces, which is sufficiently general to encompass the most important class of proba-bilistic inner product spaces (briefly, PIP spaces). We have established certain classes of PIP spaces and especially, illustrated that how to construct a real inner product from a Menger PIP space. Finally, we have established the analogous of Cauchy{Schwarz inequality in this general PIP spaces.

Original languageEnglish
Pages (from-to)180-192
Number of pages13
JournalKhayyam Journal of Mathematics
Volume6
Issue number2
DOIs
Publication statusPublished - 01-06-2020

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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